Under Birthdays and Anniversaries you'll find any contact-based events and also birthdays, anniversaries, etc. stored without a contact.
Sorting and Search
You'll find them sorted by event type with tab-navigation at the top.
You can sort by name or date and also search.
Adding new birthdays and anniversaries
To add a new contact-based or contact-less birthday (or anniversary, etc) simply press the plus button at the bottom.
To configure birthday settings, go to MENU : settings : Birthdays and Anniversaries.
To set the birth year you can tap on the year at the very top of the date picker dialog.